Answer:
x=75
The measures of the polygon are 75, 105, 70 and 110.
Step-by-step explanation:
Since the sum of the angles is 360, we can set up an equation, where all the angles add up to 360:
(x-5)+(x+35)+(1.4x)+(x)=360
x-5+x+35+1.4x+x=360
4.4x+30=360
4.4x=330
x=75
Now, to find the angles, all you have to do is plug in 75 for x in every angle:
First angle: 75
Second angle: 1.4*75=105
Third angle: 75-5=70
Fourth angle: 75+35=110
